Phase synchronization of chaotic oscillations in terms of periodic orbits

被引：110

作者：

Pikovsky, A ^{[1
]}

Zaks, M ^{[1
]}

Rosenblum, M ^{[1
]}

Osipov, G ^{[1
]}

Kurths, J ^{[1
]}

机构：

[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany

来源：

CHAOS | 1997年 / 7卷 / 04期

关键词：

D O I：

10.1063/1.166265

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the transition to phase synchronization. (C) 1997 American Institute of Physics.

引用

页码：680 / 687

页数：8

共 29 条

[1] Generalized synchronization of chaos: The auxiliary system approach [J].